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Simplifying (5y + 6) + -1(17y + -13x + -10) = 0 Reorder the terms: (6 + 5y) + -1(17y + -13x + -10) = 0 Remove parenthesis around (6 + 5y) 6 + 5y + -1(17y + -13x + -10) = 0 Reorder the terms: 6 + 5y + -1(-10 + -13x + 17y) = 0 6 + 5y + (-10 * -1 + -13x * -1 + 17y * -1) = 0 6 + 5y + (10 + 13x + -17y) = 0 Reorder the terms: 6 + 10 + 13x + 5y + -17y = 0 Combine like terms: 6 + 10 = 16 16 + 13x + 5y + -17y = 0 Combine like terms: 5y + -17y = -12y 16 + 13x + -12y = 0 Solving 16 + 13x + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 13x + -16 + -12y = 0 + -16 Reorder the terms: 16 + -16 + 13x + -12y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 13x + -12y = 0 + -16 13x + -12y = 0 + -16 Combine like terms: 0 + -16 = -16 13x + -12y = -16 Add '12y' to each side of the equation. 13x + -12y + 12y = -16 + 12y Combine like terms: -12y + 12y = 0 13x + 0 = -16 + 12y 13x = -16 + 12y Divide each side by '13'. x = -1.230769231 + 0.9230769231y Simplifying x = -1.230769231 + 0.9230769231y
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